Sum of same power of consecutive integers
Sum of same power of consecutive integers. How would we find the formula for the sum 1 + 2 + 3 +... + n, where the value of n is not yet specified? One approach is to examine the first few sums and look for a pattern. 1 = 1 = 1 * 1 1 + 2 = 3 = 1 * 3 3 + 3 = 6 = 2 * 3 4 + 6 = 10 = 2 * 5 5 + 10 = 15 =... Sign in to see full entry.